Infinite-dimensional Ellentuck spaces and Ramsey-classification theorems

DOI10.1142/S0219061316500033zbMath1436.03245arXiv1508.06533OpenAlexW2964045121MaRDI QIDQ3186058

Natasha Dobrinen

Publication date: 8 August 2016

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06533

zbMATH Keywords

Ramsey theoryultrafiltercanonical equivalence relationinfinite-dimensional Ellentuck spaceuniform barrier

Mathematics Subject Classification ID

Ramsey theory (05D10) Other combinatorial set theory (03E05) Partition relations (03E02)

Related Items (7)

Creature forcing and topological Ramsey spaces ⋮ Ideals and their generic ultrafilters ⋮ Maximal almost disjoint families, determinacy, and forcing ⋮ Topological Ramsey spaces from Fraïssé classes, Ramsey-classification theorems, and initial structures in the Tukey types of \(p\)-points ⋮ Banach Spaces from Barriers in High Dimensional Ellentuck Spaces ⋮ CLASSES OF BARREN EXTENSIONS ⋮ Ramsey degrees of ultrafilters, pseudointersection numbers, and the tools of topological Ramsey spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Tukey types of ultrafilters
• Adding ultrafilters by definable quotients
• Ramsey methods in analysis
• Topological Ramsey spaces from Fraïssé classes, Ramsey-classification theorems, and initial structures in the Tukey types of \(p\)-points
• Introduction to Ramsey Spaces (AM-174)
• Tukey classes of ultrafilters on omega
• Banach Spaces from Barriers in High Dimensional Ellentuck Spaces
• Survey on the Tukey theory of ultrafilters

This page was built for publication: Infinite-dimensional Ellentuck spaces and Ramsey-classification theorems